MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model

MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model

Present study examines the numerical analysis of MHD flow of Maxwell fluid with thermal radiation and Joule heating by considering the recently developed Cattaneo-Christov heat flux model which explains the time relaxation characteristics for the heat flux. The objective is to analyze the governing...

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Main Authors: S. Shah, S. Hussain, M. Sagheer
Format: Article
Language:English
Published: AIP Publishing LLC 2016-08-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4960830
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spelling doaj-df08663a977a4003857dd92e074a34622020-11-24T23:42:45ZengAIP Publishing LLCAIP Advances2158-32262016-08-0168085103085103-1110.1063/1.4960830012608ADVMHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux modelS. Shah0S. Hussain1M. Sagheer2Department of Mathematics, Capital University of Science and Technology, Islamabad, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad, PakistanDepartment of Mathematics, Capital University of Science and Technology, Islamabad, PakistanPresent study examines the numerical analysis of MHD flow of Maxwell fluid with thermal radiation and Joule heating by considering the recently developed Cattaneo-Christov heat flux model which explains the time relaxation characteristics for the heat flux. The objective is to analyze the governing parameters such as viscoelastic fluid parameter, Magnetic parameter, Eckert and Prandtl number’s impact on the velocity and temperature profiles through graphs and tables. Suitable similarity transformations have been used to reduce the formulated PDEs into a system of coupled non-linear ODEs. Shooting technique has been invoked for finding the numerical solutions of the dimensionless velocity and temperature profiles. Additionally, the MATLAB built-in routine bvp4c has also been used to verify and strengthen the results obtained by shooting method. From some special cases of the present work, a comparison with the previously published results has been presented.http://dx.doi.org/10.1063/1.4960830
collection DOAJ
language English
format Article
sources DOAJ
author S. Shah
S. Hussain
M. Sagheer
spellingShingle S. Shah
S. Hussain
M. Sagheer
MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model
AIP Advances
author_facet S. Shah
S. Hussain
M. Sagheer
author_sort S. Shah
title MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model
title_short MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model
title_full MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model
title_fullStr MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model
title_full_unstemmed MHD effects and heat transfer for the UCM fluid along with Joule heating and thermal radiation using Cattaneo-Christov heat flux model
title_sort mhd effects and heat transfer for the ucm fluid along with joule heating and thermal radiation using cattaneo-christov heat flux model
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2016-08-01
description Present study examines the numerical analysis of MHD flow of Maxwell fluid with thermal radiation and Joule heating by considering the recently developed Cattaneo-Christov heat flux model which explains the time relaxation characteristics for the heat flux. The objective is to analyze the governing parameters such as viscoelastic fluid parameter, Magnetic parameter, Eckert and Prandtl number’s impact on the velocity and temperature profiles through graphs and tables. Suitable similarity transformations have been used to reduce the formulated PDEs into a system of coupled non-linear ODEs. Shooting technique has been invoked for finding the numerical solutions of the dimensionless velocity and temperature profiles. Additionally, the MATLAB built-in routine bvp4c has also been used to verify and strengthen the results obtained by shooting method. From some special cases of the present work, a comparison with the previously published results has been presented.
url http://dx.doi.org/10.1063/1.4960830
work_keys_str_mv AT sshah mhdeffectsandheattransferfortheucmfluidalongwithjouleheatingandthermalradiationusingcattaneochristovheatfluxmodel
AT shussain mhdeffectsandheattransferfortheucmfluidalongwithjouleheatingandthermalradiationusingcattaneochristovheatfluxmodel
AT msagheer mhdeffectsandheattransferfortheucmfluidalongwithjouleheatingandthermalradiationusingcattaneochristovheatfluxmodel
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